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- W4285270382 abstract "The multi-access variant of the coded caching problem with <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$N$ </tex-math></inline-formula> files, <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$K$ </tex-math></inline-formula> users and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$K$ </tex-math></inline-formula> caches, where each user has access to <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$L$ </tex-math></inline-formula> neighbouring caches in a cyclic wrap-around manner, is considered. A cut-set based lower bound on the optimal rate-memory trade-off of the multi-access coded caching (MACC) scheme is derived. Furthermore, an improved lower bound on the optimal rate-memory trade-off of the MACC scheme is derived using non-cut-set arguments. The improved lower bound is tighter than the previously known lower bounds for the same setting. Further, for cache memory <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$Mleq {(N-K+L)}/{K}$ </tex-math></inline-formula> , an achievable scheme makes use of coded placement is presented. By matching with the improved lower bound, the scheme is shown to be optimal when <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$Nleq K$ </tex-math></inline-formula> . Also, lower bounds on the optimal rate-memory trade-off of the MACC scheme incorporating secure delivery and secrecy conditions are derived." @default.
- W4285270382 created "2022-07-14" @default.
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- W4285270382 date "2022-07-01" @default.
- W4285270382 modified "2023-09-30" @default.
- W4285270382 title "Improved Lower Bounds for Multi-Access Coded Caching" @default.
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- W4285270382 doi "https://doi.org/10.1109/tcomm.2022.3174890" @default.
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